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If a, b and c are any three non-zero vec...

If a, b and c are any three non-zero vectors, then the component of `atimes(btimesc)` perpendicular to b is

A

`atimes(btimesc)+((atimesb)*(ctimesa))/(|b|^(2))b`

B

`atimes(btimesc)+((atimesc)*(atimesb))/(|b|^(2))b`

C

`atimes(btimesc)+((atimesb)*(btimesa))/(|b|^(2))b`

D

`atimes(btimesc)+((atimesb)*(btimesc))/(|b|^(2))b`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
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  7. Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...

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  12. A line makes an angle theta both with x-axis and y-axis. A possible ra...

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  13. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

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  14. Find the perpendicular distance of a corner of a unit cube from a dia...

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  15. If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q...

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  16. Let a=hat(i)+hat(j)+hat(k), b=-hat(i)+hat(j)+hat(k), c=hat(i)-hat(j)+h...

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  17. A parallelepiped is formed by planes drawn parallel to coordinate axes...

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  18. Let bar a,bar b,bar c be three non-coplanar vectors and bar d be a no...

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  19. If alpha(atimesb)+beta(btimesc)+gamma(ctimesa)=0, then

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  20. Let area of faces triangleOAB=lambda1, triangleOAC=lambda2, triangleOB...

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